. What is the maximum number of pieces that can be produced with seven cuts?

One straight cut across a pizza produces 2 pieces. Two cuts can produce a maximum of 4 pieces. Three cuts can produce a maximum of 7 pieces. Four cuts can produce a maximum of 11 pieces.
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1 Answer

Using the formula p=½c²+½c+1, with c=7, p=49/2+7/2+1=29.

We can get this by using the series: 2, 4, 7, 11.

The difference between consecutive terms is increasing by 1 so we continue the series: 2, 4, 7, 11, 16, 22, 29. The 7th term is 29.

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